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Seeing balancing toys graphically and gravitationally

机译:以图形和重力方式查看平衡玩具

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摘要

There are two kinds of balancing toys (BTs)[1], which right themselves when pushed over, according to the type of a pivot point (PP) or an axis of rotation: fixed or instantaneous. When a BT oscillates about a PP (or rotation axis) under the influence of gravity, its center of gravity (COG) should eventually be placed as low as possible in the course of damping caused by weak frictional force. The odd behavior of BTs is due to their particular construction (see figures 1 and 2) for which their COGs are placed at the lowest position in the desired configuration (stable equilibrium). Hence, an intuitive way of exploring BTs would be to observe the height of COG from a reference level.
机译:平衡玩具(BT)[1]有两种,根据枢轴点(PP)或旋转轴的类型,它们会自动翻转:固定的或瞬时的。当BT在重力的影响下绕PP(或旋转轴)振荡时,其最终重心(COG)最终应放置在由弱摩擦力引起的阻尼过程中尽可能低的位置。 BT的奇怪行为是由于其特殊的结构(见图1和2)所致,它们的COG处于所需构型(稳定平衡)的最低位置。因此,探索BT的直观方法是从参考水平观察COG的高度。

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